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1 : /* -*- Mode: C++; tab-width: 20; indent-tabs-mode: nil; c-basic-offset: 2 -*-
2 : * This Source Code Form is subject to the terms of the Mozilla Public
3 : * License, v. 2.0. If a copy of the MPL was not distributed with this
4 : * file, You can obtain one at http://mozilla.org/MPL/2.0/. */
5 :
6 : #include "Quaternion.h"
7 : #include "Matrix.h"
8 : #include "Tools.h"
9 : #include <algorithm>
10 : #include <ostream>
11 : #include <math.h>
12 :
13 : using namespace std;
14 :
15 : namespace mozilla {
16 : namespace gfx {
17 :
18 : std::ostream&
19 0 : operator<<(std::ostream& aStream, const Quaternion& aQuat)
20 : {
21 0 : return aStream << "< " << aQuat.x << " " << aQuat.y << " " << aQuat.z << " " << aQuat.w << ">";
22 : }
23 :
24 : void
25 0 : Quaternion::SetFromRotationMatrix(const Matrix4x4& m)
26 : {
27 : // see http://www.euclideanspace.com/maths/geometry/rotations/conversions/matrixToQuaternion/index.htm
28 0 : const Float trace = m._11 + m._22 + m._33;
29 0 : if (trace > 0.0) {
30 0 : const Float s = 0.5f / sqrt(trace + 1.0f);
31 0 : w = 0.25f / s;
32 0 : x = (m._32 - m._23) * s;
33 0 : y = (m._13 - m._31) * s;
34 0 : z = (m._21 - m._12) * s;
35 0 : } else if (m._11 > m._22 && m._11 > m._33) {
36 0 : const Float s = 2.0f * sqrt(1.0f + m._11 - m._22 - m._33);
37 0 : w = (m._32 - m._23) / s;
38 0 : x = 0.25f * s;
39 0 : y = (m._12 + m._21) / s;
40 0 : z = (m._13 + m._31) / s;
41 0 : } else if (m._22 > m._33) {
42 0 : const Float s = 2.0 * sqrt(1.0f + m._22 - m._11 - m._33);
43 0 : w = (m._13 - m._31) / s;
44 0 : x = (m._12 + m._21) / s;
45 0 : y = 0.25f * s;
46 0 : z = (m._23 + m._32) / s;
47 : } else {
48 0 : const Float s = 2.0 * sqrt(1.0f + m._33 - m._11 - m._22);
49 0 : w = (m._21 - m._12) / s;
50 0 : x = (m._13 + m._31) / s;
51 0 : y = (m._23 + m._32) / s;
52 0 : z = 0.25f * s;
53 : }
54 0 : }
55 :
56 : } // namespace gfx
57 : } // namespace mozilla
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